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Finding the Fourth Proportional to 2,427.72, 3,635.10 and 2,281.65

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Solution

The fourth proportional to 2,427.72, 3,635.10 and 2,281.65 is: 3,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.72 : 3,635.10 = 2,281.65 : x
  2. Step 2: Convert to fraction form
    2,427.72/3,635.10 = 2,281.65/x
  3. Step 3: Cross multiply
    2,427.72x = 3,635.10 × 2,281.65
  4. Step 4: Simplify right side
    2,427.72x = 8,294,025.92
  5. Step 5: Solve for x
    x = 8,294,025.92/2,427.72
  6. Step 6: Final answer
    x = 3,416.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.